Bifurcation analysis of quasi-periodic orbits of mechanical systems with 1:2 internal resonance via spectral submanifolds

• Published in: Nonlinear dynamics Vol. 113; no. 11; pp. 12609 - 12640
• Main Authors: Liang, Hongming, Jain, Shobhit, Li, Mingwu
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Nature B.V 01.06.2025
• Subjects: Bifurcations; Finite element method; Fourier transforms; Harmonic excitation; Manifolds (mathematics); Mechanical systems; Orbits; Random vibration; Reduced order models; Resonance

A 1:2 internally resonant mechanical system can undergo secondary Hopf (Neimark-Sacker) bifurcations, resulting in a quasi-periodic response when the system is subject to harmonic excitation. While these quasi-periodic orbits have been observed in practice, their bifurcations are not well studied, e...